Listen to I Could Have Danced All Night online. I Could Have Danced All Night is an English language song and is sung by Shelly Manne, Leroy Vinnegar and Andre Previn. I Could Have Danced All Night, from the album Original Jazz Sound: My Fair Lady, was released in the year 2012. The duration of the song is 2:57. Download English songs online from JioSaavn.